Search a number
-
+
10707084192 = 253715933161
BaseRepresentation
bin10011111100011000…
…10010001110100000
31000122012021020021210
421332030102032200
5133412003143232
64530241550120
7526221466620
oct117614221640
930565236253
1010707084192
1145a4962912
1220a9945340
13101833a19c
14738022880
15429ece5cc
hex27e3123a0

10707084192 has 48 divisors (see below), whose sum is σ = 32121254592. Its totient is φ = 3059166720.

The previous prime is 10707084181. The next prime is 10707084217. The reversal of 10707084192 is 29148070701.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×107070841922 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10707084192.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7965909 + ... + 7967252.

It is an arithmetic number, because the mean of its divisors is an integer number (669192804).

Almost surely, 210707084192 is an apocalyptic number.

10707084192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10707084192 is an abundant number, since it is smaller than the sum of its proper divisors (21414170400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10707084192 is a wasteful number, since it uses less digits than its factorization.

10707084192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15933181 (or 15933173 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The spelling of 10707084192 in words is "ten billion, seven hundred seven million, eighty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 15933161 31866322 47799483 63732644 95598966 111532127 127465288 191197932 223064254 254930576 334596381 382395864 446128508 509861152 669192762 764791728 892257016 1338385524 1529583456 1784514032 2676771048 3569028064 5353542096 10707084192